Mathematics · Mensuration

A right circular cone has a height of 16 cm. A smaller cone is cut off from the top by a plane parallel to the base. If the ratio of the volume of the smaller cone to the volume of the original cone is 1 : 64, at what height (in cm) above the base is the cut made?

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A right circular cone has a height of 16 cm. A smaller cone is cut off from the top by a plane parallel to the base. If the ratio of the volume of the smaller cone to the volume of the original cone is 1 : 64, at what height (in cm) above the base is the cut made?

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A right circular cone has a height of 16 cm. A smaller cone is cut off from the top by a plane parallel to the base. If the ratio of the volume of the smaller cone to the volume of the original cone is 1 : 64, at what height (in cm) above the base is the cut made?

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